The issue you describe is usually a battery-related problem, and a new battery/charger often does the trick.
BTW, don't assume the "new" battery was any good, you might try to source another one from elsewhere one more time. Just be sure wherever you get it from has a good return policy. You're probably using eBay
, correct? For something this old, I'd assume so.
If it really is an issue with firmware, corrupted ROM, etc -- and those photos actually matter -- then I'd advise not messing with it on your own. Too much can go wrong, wipe the phone.
And for that matter, hopefully the data is still there. Was this phone recently still in use, or stuck in a drawer for the past decade?
You're now entering the realm of recovery. Not something you can DIY.
Of all the operations out there, I'd strongly consider Drive Savers:
Call them, see what it would cost to recover.
Their site mentions "smart phones", but then lists many non-smart phone manufacturers, including Sony:
And an interesting tour of their facility: https://www.youtube.com/watch?v=tNUsoangGFs
Kroll Ontrack is our usual suggestion for recovery, but they don't work on phones like Drive Savers does. We had to send a HDD to Ontrack about 8 years ago, and it was around $1000 for the recovered files dumped onto a new drive. The success rate was about 99%, so entirely worth it to us. $1k was a tough pill to swallow, but also made us double down on RAID and backups even more.
Hopefully your phone wouldn't cost anywhere near as much, but it won't be free or cheap. There will be some cost, but sometimes memories matter more than dollars. It'll also serve as a lesson: backup! Thankfully modern Android/iOS can connect to built-in instant cloud backups, devices of 2018 (and beyond) aren't like devices of 2006.
And please do reply back to this thread, let us know what you've done, and if you've had success. I